What is the answer to (x+3)/(5x)=(x-2)/(4x) ?

The answer to (x+3)/(5x)=(x-2)/(4x) is x=22

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(x+3)/(5x)=(x-2)/(4x)

\frac{x + 3}{5 x} = \frac{x - 2}{4 x}

x = 22

Solution steps

\frac{x + 3}{5 x} = \frac{x - 2}{4 x}

Cross multiply

(x + 3) \cdot 4 x = 5 x (x - 2)

Solve

(x + 3) \cdot 4 x = 5 x (x - 2) : x = 0, x = 22

x = 0, x = 22

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = 22

\frac{6}{x} = \frac{2}{9}

\frac{- 2}{1} = \frac{- 450}{x}

a, h = \frac{- b}{2 a}

3 x^{2 - 5} = 81

\frac{( 4 k - 10 )}{k} = 8

What is the answer to (x+3)/(5x)=(x-2)/(4x) ?
The answer to (x+3)/(5x)=(x-2)/(4x) is x=22
Solve for x: (x+3)/(5x)=(x-2)/(4x)
The solution is x=22